{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ace0e06e",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "864a7b1e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.special import expit  # sigmoid函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3e71488d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 设置中文显示\n",
    "plt.rcParams[\"font.family\"] = [\"SimHei\"]\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 解决负号显示问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3ff4e80a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ===== 示例数据：客户年龄与购买概率 =====\n",
    "age = np.array([20, 25, 30, 35, 40, 45, 50, 55, 60, 65])  # 客户年龄\n",
    "# 假设购买概率与年龄的关系：年龄越大，购买概率越高\n",
    "true_prob = expit(-5 + 0.1 * age)  # 真实的购买概率 (使用sigmoid函数)\n",
    "# 生成二分类观测数据 (0=未购买, 1=购买)\n",
    "np.random.seed(42)\n",
    "purchased = np.random.binomial(1, true_prob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "86e0ebc8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "# ===== 可视化三个组件的关系 =====\n",
    "plt.figure(figsize=(15, 10))\n",
    "\n",
    "# ===== 1. 随机部分：响应变量Y的概率分布 =====\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.scatter(age, purchased, color='blue', alpha=0.6, label='观测数据')\n",
    "plt.plot(age, true_prob, 'r-', label='真实购买概率')\n",
    "plt.title('1. 随机部分：响应变量Y的分布')\n",
    "plt.xlabel('客户年龄 (X)')\n",
    "plt.ylabel('是否购买 (Y)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# ===== 2. 系统部分：线性预测器η = β₀ + β₁X =====\n",
    "plt.subplot(2, 2, 2)\n",
    "beta0, beta1 = -5, 0.1  # 假设的模型参数\n",
    "eta = beta0 + beta1 * age  # 线性预测器\n",
    "\n",
    "plt.plot(age, eta, 'g-', label='线性预测器 η = -5 + 0.1*年龄')\n",
    "plt.axhline(y=0, color='r', linestyle='--', alpha=0.3)\n",
    "plt.title('2. 系统部分：线性预测器 η')\n",
    "plt.xlabel('客户年龄 (X)')\n",
    "plt.ylabel('线性预测值 (η)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# ===== 3. 链接函数：g(μ)=η 将线性预测转换为概率 =====\n",
    "plt.subplot(2, 2, 3)\n",
    "mu = expit(eta)  # 通过sigmoid函数将η转换为概率μ\n",
    "\n",
    "plt.plot(eta, mu, 'b-', label='sigmoid函数: μ = 1/(1+e^(-η))')\n",
    "plt.scatter(eta, true_prob, color='red', alpha=0.6, label='真实概率')\n",
    "plt.axvline(x=0, color='r', linestyle='--', alpha=0.3)\n",
    "plt.axhline(y=0.5, color='r', linestyle='--', alpha=0.3)\n",
    "plt.title('3. 链接函数：通过sigmoid将η转换为概率μ')\n",
    "plt.xlabel('线性预测值 (η)')\n",
    "plt.ylabel('概率 (μ)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# ===== 4. 完整模型：从X到Y的预测流程 =====\n",
    "plt.subplot(2, 2, 4)\n",
    "plt.scatter(age, purchased, color='blue', alpha=0.6, label='观测数据')\n",
    "plt.plot(age, true_prob, 'r-', label='真实购买概率')\n",
    "plt.plot(age, mu, 'g--', label='预测购买概率')\n",
    "plt.axhline(y=0.5, color='r', linestyle='--', alpha=0.3, label='决策阈值')\n",
    "plt.title('4. 完整模型：从X到Y的预测流程')\n",
    "plt.xlabel('客户年龄 (X)')\n",
    "plt.ylabel('是否购买 (Y)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aa53b46e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ===== 打印关键值 =====\n",
    "print(\"年龄:\", age)\n",
    "print(\"线性预测器 η:\", np.round(eta, 2))\n",
    "print(\"真实概率 μ:\", np.round(true_prob, 2))\n",
    "print(\"预测概率 μ:\", np.round(mu, 2))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "my_env",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
